345749677640000 has 280 divisors, whose sum is σ = 913657422636288. Its totient is φ = 129472203520000.

The previous prime is 345749677639987. The next prime is 345749677640011. The reversal of 345749677640000 is 46776947543.

It is a super-3 number, since 3×345749677640000³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39241970 + ... + 47238030.

Almost surely, 2^{345749677640000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345749677640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456828711318144).

345749677640000 is an abundant number, since it is smaller than the sum of its proper divisors (567907744996288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345749677640000 is an equidigital number, since it uses as much as digits as its factorization.

345749677640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996163 (or 7996138 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 62.

The spelling of 345749677640000 in words is "three hundred forty-five trillion, seven hundred forty-nine billion, six hundred seventy-seven million, six hundred forty thousand".